Atkin-Lehner |
2- 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
96432by |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-72561991090176 = -1 · 218 · 39 · 73 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 2 1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10288,-85056] |
[a1,a2,a3,a4,a6] |
j |
85707789929/51648192 |
j-invariant |
L |
1.4297257603367 |
L(r)(E,1)/r! |
Ω |
0.35743143831792 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12054bo1 96432co1 |
Quadratic twists by: -4 -7 |